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IPCO
2008
129views Optimization» more  IPCO 2008»
13 years 6 months ago
A Polynomial Time Approximation Scheme for the Square Packing Problem
Given a set Q of squares with positive pro ts, the square packing problem is to select and pack a subset of squares of maximum pro t into a rectangular bin R. We present a polynomi...
Klaus Jansen, Roberto Solis-Oba
SODA
2004
ACM
203views Algorithms» more  SODA 2004»
13 years 6 months ago
Approximation schemes for multidimensional packing
We consider a classic multidimensional generalization of the bin packing problem, namely, packing d-dimensional rectangles into the minimum number of unit cubes. Our two results a...
José R. Correa, Claire Kenyon
STOC
2005
ACM
143views Algorithms» more  STOC 2005»
13 years 10 months ago
On strip packing With rotations
We present an asymptotic fully polynomial time approximation scheme for two-dimensional strip packing with rotations. In this problem, a set of rectangles need to be packed into a...
Klaus Jansen, Rob van Stee
IPL
2008
132views more  IPL 2008»
13 years 4 months ago
Asymptotic fully polynomial approximation schemes for variants of open-end bin packing
We consider three variants of the open-end bin packing problem. Such variants of bin packing allow the total size of items packed into a bin to exceed the capacity of a bin, provi...
Leah Epstein, Asaf Levin
WAOA
2010
Springer
256views Algorithms» more  WAOA 2010»
13 years 2 months ago
The Train Delivery Problem - Vehicle Routing Meets Bin Packing
Abstract. We consider the train delivery problem which is a generalization of the bin packing problem and is equivalent to a one dimensional version of the vehicle routing problem ...
Aparna Das, Claire Mathieu, Shay Mozes